Aplane takes off from an airport and flies at a speed of 400km/h on a course of 120° for 2 hours. the plane then changes its course to 210° and continues in this direction for 1 hour. how far is the plane from the airport at the end of this time?

Distance from the airport = 894.43 km

Step-by-step explanation:

Displacement and Velocity

The velocity of an object assumed as constant in time can be computed as

Where is the displacement. Both the velocity and displacement are vectors. The displacement can be computed from the above relation as

The plane goes at 400 Km/h on a course of 120° for 2 hours. We can compute the components of the velocity as

The displacement of the plane in 2 hours is

Now the plane keeps the same speed but now its course is 210° for 1 hour. The components of the velocity are

The displacement in 1 hour is

The total displacement is the vector sum of both

The distance from the airport is the module of the displacement: